Recently, I find that definitions of secant stiffness and tangent stiffness in many books seem pretty confused.Therefore, here I am giving the definitions I think correct, then give my questions on them.
Consider the equation
H(x)x+f=0
(1) Definition of tangent stiffness. As for the above equation, what is the tangent stiffness for some particular value x0?
Let's give the definition according basic knowledge of advanced mathematics. Let's consider the curve H(x)x~x. For this curve, y=H(x)x, so the tangent at x0 is
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